Results 31 to 40 of about 84,803 (254)

Coaction and double-copy properties of configuration-space integrals at genus zero

open access: yesJournal of High Energy Physics, 2021
We investigate configuration-space integrals over punctured Riemann spheres from the viewpoint of the motivic Galois coaction and double-copy structures generalizing the Kawai-Lewellen-Tye (KLT) relations in string theory.
Ruth Britto   +3 more
doaj   +1 more source

Transcendental numbers [PDF]

open access: yesJournal of the Australian Mathematical Society, 1964
If K is a field and L an extension field, α ∈ L is said to be algebraic over K if it satisfies an equation with coefficients in K. If α does not satisfy any such on, it is called transcendental over K.
openaire   +1 more source

On Some Hypergeometric Summations [PDF]

open access: yes, 2015
We develop a theoretical study of non-terminating hypergeometric summations with one free parameter. Composing various methods in complex and asymptotic analysis, geometry and arithmetic of certain transcendental curves and rational approximations of ...
Iwasaki, Katsunori
core   +1 more source

N3LO gravitational quadratic-in-spin interactions at G 4

open access: yesJournal of High Energy Physics, 2021
We compute the N3LO gravitational quadratic-in-spin interactions at G 4 in the post-Newtonian (PN) expansion via the effective field theory (EFT) of gravitating spinning objects for the first time.
Michèle Levi   +2 more
doaj   +1 more source

On certain transcendental numbers.

open access: yesMichigan Mathematical Journal, 1984
Making use of the classic Lindemann-Weierstraß theorem and the Gelfond-Schneider theorem, the author derives a lot of interesting new facts such as Theorem 1. Suppose \(\alpha\) and \(\beta\) are algebraic numbers. Then \(e^{\alpha} \cos \beta\) and \(e^{\alpha} \sin\beta\) are algebraically independent if and only if \(\alpha\) and \(\beta\) are ...
openaire   +2 more sources

Spaces of series in system of functions

open access: yesМатематичні Студії, 2023
The Banach and Fr\'{e}chet spaces of series $A(z)=\sum_{n=1}^{\infty}a_nf(\lambda_nz)$ regularly converging in ${\mathbb C}$, where $f$ is an entire transcendental function and $(\lambda_n)$ is a sequence of positive numbers increasing to $+\infty$, are ...
M. M. Sheremeta
doaj   +1 more source

AS‐pHopt: An Optimal pH Prediction Model Enhanced by Active Site of Enzymes

open access: yesAdvanced Intelligent Discovery, EarlyView.
To address the low accuracy of enzyme optimal pH (pHopt) prediction, this study develops active site‐based pHopt (AS‐pHopt), a prediction model enhanced by active site information and pseudo‐label prediction. Integrating key structural and physicochemical features affecting enzyme pHopt, AS‐pHopt uses Evolutionary Scale Modeling (ESM)‐2 with active ...
Wenxiang Song   +6 more
wiley   +1 more source

Analyzing students’ difficulties in understanding real numbers

open access: yesREDIMAT, 2012
This article reports on a study of high-school and of technologist students (prospective engineers and economists) understanding of real numbers. Our study was based on written response to a properly designed questionnaire and on interviews taken from ...
Michael Voskoglou, Georgios D. Kosyvas
doaj   +1 more source

N3LO gravitational spin-orbit coupling at order G 4

open access: yesJournal of High Energy Physics, 2021
In this paper we derive for the first time the N3LO gravitational spin-orbit coupling at order G 4 in the post-Newtonian (PN) approximation within the effective field theory (EFT) of gravitating spinning objects.
Michèle Levi   +2 more
doaj   +1 more source

Meta‐Virtuality: Strategies of Disembeddedness in Virtual Interiorities

open access: yesJournal of Interior Design, EarlyView., 2022
ABSTRACT To reclaim their seat in the rapidly growing market of virtual space, designers of the built environment can benefit from reevaluating theories that see the virtual as a mere extension/reflection of the physical. By claiming ontological autonomy from external worlds, the virtual is liberated from the hegemonic control of the physical.
Vahid Vahdat
wiley   +1 more source

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